Korean Journal of Mathematics
- Volume 16 Issue 2
- /
- Pages.157-163
- /
- 2008
- /
- 1976-8605(pISSN)
- /
- 2288-1433(eISSN)
ANOTHER COMPLETE DECOMPOSITION OF A SELF-SIMILAR CANTOR SET
- Baek, In Soo (Department of Mathematics Pusan University of Foreign Studies)
- Received : 2008.04.03
- Published : 2008.06.10
Abstract
Using informations of subsets of divergence points and the relation between members of spectral classes, we give another complete decomposition of spectral classes generated by lower(upper) local dimensions of a self-similar measure on a self-similar Cantor set with full information of their dimensions. We note that it is a complete refinement of the earlier complete decomposition of the spectral classes. Further we study the packing dimension of some uncountable union of distribution sets.
Keywords